1.

Find the domain of the range of each of the following real functions: `f(x)=(1)/(x)`

Answer» Correct Answer - dom `(f)=R-{0}," range "(f)=R-{0}`
`f(x)=(1)/(x)` is not difined when x=0. So, dom `(f)=R-{0}`.
Let y=f(x). Then, `y=(1)/(x)impliesx=(1)/(y)`.
`:.` x is defined when y=0. So, range `(f)=R-{0}`.


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